Question 458: Centre of Mass and Rotational Motion

Question

A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations made in the process is ___________.

Accepted Answer

$${\omega _f} = {\omega _0} + \alpha t$$
$$\alpha  = 1200 	imes 6$$
$$	heta  = {\omega _0}t + {1 \over 2}\alpha {t^2}$$
$$ = 600 	imes {{10} \over {60}} + {1 \over 2} 	imes 1200 	imes 6 	imes {1 \over {36}}$$
$$	heta  = 200$$

Centre of Mass and Rotational Motion

A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations made in the process is ___________.

Integer / Numeric Answer Type